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2 January, 13:52

Bilal's fishing line was on a spool with a radius of 4cm. Suddenly, a fish pulled on the line, and the spool spun 16 times before Bilal began to reel in the fish. What is the distance the fish pulled the fishing line?

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  1. 2 January, 13:57
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    the answer is 402 because on khan it asks to round to the nearest cm
  2. 2 January, 16:43
    0
    First, I'd like to say that this question is flawed because the diameter of the spool changes as you pull the line out. Some would argue it's negligible I suppose.

    At any rate, assuming there's a magic spool where the diameter doesn't change, let's find the cicumference so we can find the length of one wrap around the spool.

    circumference = 2*pi*r = 2 * pi * 4cm = about 25.133 cm

    Now if it turns 16 times we'll have 16 times the circumference.

    16 * (25.133 cm)

    = 402.128 cm
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